Question

Solve the factored quadratic equation 0=−1/3x(x−6)

.(1 point)
Responses

The solution set is x={0,6}
The solution set is x={−6,3}

The solution set is x={0,−6}
The solution set is x={1/3,6}

Answer 1

To solve the factored quadratic equation \(0 = -\frac{1}{3}x(x - 6)\), we set each factor equal to zero.

1. Set \(-\frac{1}{3}x = 0\):
- This gives us \(x = 0\).

2. Set \(x - 6 = 0\):
- This gives us \(x = 6\).

So, the solution set is \(x = \{0, 6\}\).

Thus, the correct response is:
**The solution set is \(x = \{0, 6\}\)**.